Results 1 to 10 of about 720,458 (269)

Uniform Convergence and Transitive Subsets [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2012
Let (X,d) be a metric space and a sequence of continuous maps fn:X→X that converges uniformly to a map f. We investigate the transitive subsets of fn whether they can be inherited by f or not. We give sufficient conditions such that the limit map f has a
Lei Liu, Shuli Zhao, Hongliang Liang
doaj   +3 more sources

On Another Type of Convergence for Intuitionistic Fuzzy Observables

open access: yesMathematics, 2023
The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
doaj   +1 more source

Statistical relative uniform convergence of a double sequence of functions at a point and applications to approximation theory

open access: yesCumhuriyet Science Journal, 2021
In the present paper, we introduce a new kind of convergence, called the statistical relative uniform convergence, for a double sequence of functions at a point, where the relative uniform convergence of the set of the neighborhoods of the given point is
Sevda Yıldız
doaj   +1 more source

Schur Lemma and Uniform Convergence of Series through Convergence Methods

open access: yesMathematics, 2020
In this note, we prove a Schur-type lemma for bounded multiplier series. This result allows us to obtain a unified vision of several previous results, focusing on the underlying structure and the properties that a summability method must satisfy in order
Fernando León-Saavedra   +2 more
doaj   +1 more source

$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces

open access: yesCommunications in Advanced Mathematical Sciences, 2022
In this work, we discuss various types of $\mathcal{I}_2$-uniform convergence and equi-continuous for double sequences of functions. Also, we introduce the concepts of $\mathcal{I}_2$-uniform convergence, $\mathcal{I}_2^*$-uniform convergence, $\mathcal ...
Mukaddes Arslan   +2 more
doaj   +1 more source

Uniform convergence of Hankel transforms [PDF]

open access: yes, 2018
We investigate necessary and/or sufficient conditions for the pointwise and uniform convergence of the weighted Hankel transforms $$\mathcal{L}^\alpha_{\nu,\mu}f(r) = r^\mu\int_0^\infty (rt)^\nu f(t) j_\alpha(rt)\, dt, \quad \alpha\geq -1/2, \quad r\geq ...
Debernardi, A.
core   +2 more sources

On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals [PDF]

open access: yesMathematica Bohemica, 2016
Equiintegrability in a compact interval $E$ may be defined as a uniform integrability property that involves both the integrand $f_n$ and the corresponding primitive $F_n$.
Abraham Racca, Emmanuel Cabral
doaj   +1 more source

Uniform convergence rates and uniform adaptive estimation in mixtures of regressions [PDF]

open access: yes, 2018
In this thesis, we develop theoretical tools to examine estimators in non-parametric regression models in regard of uniform convergence rates and uniform adaptivity with respect to the smoothness of the parameter functions.
Werner, Heiko
core   +1 more source

Applications of relative statistical convergence and associated approximation theorem

open access: yesAIMS Mathematics, 2022
In this work, we investigate a new type of convergence known as relative statistical convergence through the use of the deferred Nörlund and deferred Riesz means.
Lian-Ta Su   +3 more
doaj   +1 more source

Uniform convergence to equilibrium for granular media [PDF]

open access: yes, 2012
We study the long time asymptotics of a nonlinear, nonlocal equation used in the modelling of granular media. We prove a uniform exponential convergence to equilibrium for degenerately convex and non convex interaction or confinement potentials ...
Arnaud Guillin   +14 more
core   +3 more sources

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